Question

given:4725=3^a×5^b×7^c find
1)a,b,c
2)value of 2^-a,3^b,7^c​

Answer 1

Answer:

1)

$4725 = {3}^{a} \times {5}^{b} \times {7}^{c} \\ a = 3. \: \\ b = 2. \\ c = 1 \\ 2) \: value \: of \: {2}^{ - a} {3}^{b} {7}^{c} = \frac{63}{8}$